EduSahara™ Assignment
Name : Graph of Linear Equation
Chapter : Linear Equations and Simultaneous Linear Equations
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
The equation of x-axis is
  • (i)
    y
    =
    x
  • (ii)
    y
    =
    0
  • (iii)
    x
    =
    0
  • (iv)
    y
    =
    1
  • (v)
    x
    =
    1
Question 2
2.
The equation of y-axis is
  • (i)
    x
    =
    0
  • (ii)
    y
    =
    1
  • (iii)
    y
    =
    x
  • (iv)
    x
    =
    1
  • (v)
    y
    =
    0
Question 3
3.
Any line parallel to x-axis is
  • (i)
    an oblique line
  • (ii)
    a vertical line
  • (iii)
    a curved line
  • (iv)
    a horizontal line
Question 4
4.
Any line parallel to y-axis is
  • (i)
    a horizontal line
  • (ii)
    a vertical line
  • (iii)
    a curved line
  • (iv)
    an oblique line
Question 5
5.
A line which is neither parallel to x-axis nor y-axis is
  • (i)
    an oblique line
  • (ii)
    a curved line
  • (iii)
    a vertical line
  • (iv)
    a horizontal line
Question 6
6.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    0
    ,
    6
    )
  • (ii)
    (
    1
    ,
    1
    )
  • (iii)
    (
    6
    ,
    0
    )
  • (iv)
    (
    1
    ,
    0
    )
  • (v)
    (
    0
    ,
    0
    )
Question 7
7.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • (i)
    y
    =
    0
  • (ii)
    x
    =
    y
  • (iii)
    x
    =
    k
  • (iv)
    x
    =
    0
  • (v)
    y
    =
    k
Question 8
8.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • (i)
    y
    =
    0
  • (ii)
    y
    =
    k
  • (iii)
    x
    =
    k
  • (iv)
    x
    =
    0
  • (v)
    x
    =
    y
Question 9
9.
Find the equation of the displayed line
  • (i)
    4
    y
    =
    1
  • (ii)
    x
    =
    1
  • (iii)
    y
    =
    0
  • (iv)
    y
    =
    1
  • (v)
    y
    =
    2
Question 10
10.
Find the equation of the displayed line
  • (i)
    4
    x
    =
    (
    4
    )
  • (ii)
    x
    =
    (
    4
    )
  • (iii)
    x
    =
    (
    5
    )
  • (iv)
    x
    =
    (
    3
    )
  • (v)
    y
    =
    (
    4
    )
Question 11
11.
    • Find the equation of the line passing through the points
    • (
      (
      1
      )
      ,
      3
      )
    • and
    • (
      6
      ,
      (
      1
      )
      )
  • (i)
    (
    3
    x
    7
    y
    +
    17
    )
    =
    0
  • (ii)
    (
    4
    x
    +
    7
    y
    24
    )
    =
    0
  • (iii)
    (
    5
    x
    7
    y
    +
    17
    )
    =
    0
  • (iv)
    (
    4
    x
    7
    y
    +
    17
    )
    =
    0
  • (v)
    (
    4
    x
    +
    7
    y
    21
    )
    =
    0
Question 12
12.
The equation of the x-axis is
a)
    • y
      =
      1
b)
    • x
      =
      1
c)
    • x
      =
      0
d)
    • y
      =
      0
e)
    • x
      =
      y
  • (i)
    {d}
  • (ii)
    {c,e,d}
  • (iii)
    {b,d}
  • (iv)
    {a,d}
Question 13
13.
    • Which of the following lines pass through the origin?
  • (i)
    (
    11
    x
    +
    6
    y
    59
    )
    =
    0
  • (ii)
    (
    11
    x
    4
    y
    76
    )
    =
    0
  • (iii)
    (
    5
    x
    +
    9
    y
    67
    )
    =
    0
  • (iv)
    (
    5
    x
    11
    y
    68
    )
    =
    0
  • (v)
    (
    3
    x
    8
    y
    )
    =
    0
Question 14
14.
    • Which of the following lines do not pass through the origin?
  • (i)
    (
    2
    x
    8
    y
    )
    =
    0
  • (ii)
    (
    y
    +
    1
    )
    =
    0
  • (iii)
    (
    x
    +
    7
    y
    )
    =
    0
  • (iv)
    (
    7
    x
    4
    y
    )
    =
    0
  • (v)
    (
    2
    x
    +
    3
    y
    )
    =
    0
Question 15
15.
    • Find the set of points satisfying the equation
    • (
      10
      x
      +
      5
      y
      +
      35
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      0
      ,
      (
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      1
      ,
      (
      8
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      0
      ,
      (
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      4
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      0
      ,
      (
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
Question 16
16.
    • Find the set of points satisfying the equation
    • y
      =
      (
      4

      3
      x
      +
      25

      3
      )
  • (i)
    • (
      (
      2
      )
      ,
      17

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      7
      )
    • ,
    • (
      0
      ,
      25

      3
      )
    • ,
    • (
      1
      ,
      29

      3
      )
    • ,
    • (
      2
      ,
      11
      )
  • (ii)
    • (
      (
      2
      )
      ,
      17

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      7
      )
    • ,
    • (
      (
      2
      )
      ,
      19

      3
      )
    • ,
    • (
      1
      ,
      29

      3
      )
    • ,
    • (
      2
      ,
      11
      )
  • (iii)
    • (
      (
      2
      )
      ,
      17

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      7
      )
    • ,
    • (
      1
      ,
      22

      3
      )
    • ,
    • (
      1
      ,
      29

      3
      )
    • ,
    • (
      2
      ,
      11
      )
  • (iv)
    • (
      (
      2
      )
      ,
      17

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      7
      )
    • ,
    • (
      0
      ,
      25

      3
      )
    • ,
    • (
      0
      ,
      32

      3
      )
    • ,
    • (
      2
      ,
      11
      )
  • (v)
    • (
      (
      2
      )
      ,
      17

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      7
      )
    • ,
    • (
      0
      ,
      25

      3
      )
    • ,
    • (
      1
      ,
      29

      3
      )
    • ,
    • (
      4
      ,
      13
      )
Question 17
17.
    • Find the set of points satisfying the equation
    • x
      =
      (
      1

      2
      y
      +
      7

      2
      )
  • (i)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      1
      ,
      (
      8
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      0
      ,
      (
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      0
      ,
      (
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      11
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      9
      )
      )
    • ,
    • (
      0
      ,
      (
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      4
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
Question 18
18.
    • Find the set of points satisfying the equation
    • y
      =
      (
      3

      8
      x
      )
  • (i)
    • (
      (
      2
      )
      ,
      3

      4
      )
    • ,
    • (
      (
      1
      )
      ,
      3

      8
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      5

      8
      )
    • ,
    • (
      2
      ,
      (
      3

      4
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      3

      4
      )
    • ,
    • (
      (
      1
      )
      ,
      3

      8
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      3

      8
      )
      )
    • ,
    • (
      2
      ,
      (
      3

      4
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      3

      4
      )
    • ,
    • (
      (
      1
      )
      ,
      3

      8
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      3

      8
      )
      )
    • ,
    • (
      2
      ,
      (
      3

      4
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      3

      4
      )
    • ,
    • (
      (
      1
      )
      ,
      3

      8
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      3

      8
      )
      )
    • ,
    • (
      4
      ,
      5

      4
      )
  • (v)
    • (
      (
      2
      )
      ,
      3

      4
      )
    • ,
    • (
      (
      1
      )
      ,
      3

      8
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      3

      8
      )
      )
    • ,
    • (
      2
      ,
      (
      3

      4
      )
      )
Question 19
19.
    • Find the set of points satisfying the equation
    • (
      14
      x
      +
      15
      y
      12
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      15
      )
    • ,
    • (
      1
      ,
      (
      1

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      2

      15
      )
      )
    • ,
    • (
      2
      ,
      (
      16

      15
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      15
      )
    • ,
    • (
      0
      ,
      4

      5
      )
    • ,
    • (
      1
      ,
      (
      2

      15
      )
      )
    • ,
    • (
      2
      ,
      (
      16

      15
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      15
      )
    • ,
    • (
      0
      ,
      4

      5
      )
    • ,
    • (
      1
      ,
      (
      2

      15
      )
      )
    • ,
    • (
      4
      ,
      14

      15
      )
  • (iv)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      15
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      6

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      2

      15
      )
      )
    • ,
    • (
      2
      ,
      (
      16

      15
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      15
      )
    • ,
    • (
      0
      ,
      4

      5
      )
    • ,
    • (
      0
      ,
      13

      15
      )
    • ,
    • (
      2
      ,
      (
      16

      15
      )
      )
Question 20
20.
    • Find the set of points satisfying the equation
    • y
      =
      2
  • (i)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
    • ,
    • (
      0
      ,
      2
      )
    • ,
    • (
      0
      ,
      3
      )
    • ,
    • (
      2
      ,
      2
      )
  • (ii)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      1
      ,
      2
      )
    • ,
    • (
      2
      ,
      2
      )
  • (iii)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
    • ,
    • (
      0
      ,
      2
      )
    • ,
    • (
      1
      ,
      2
      )
    • ,
    • (
      2
      ,
      2
      )
  • (iv)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
    • ,
    • (
      (
      2
      )
      ,
      0
      )
    • ,
    • (
      1
      ,
      2
      )
    • ,
    • (
      2
      ,
      2
      )
  • (v)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
    • ,
    • (
      0
      ,
      2
      )
    • ,
    • (
      1
      ,
      2
      )
    • ,
    • (
      4
      ,
      4
      )
Question 21
21.
    • Find the set of points satisfying the equation
    • x
      =
      1
  • (i)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      1
      ,
      2
      )
  • (ii)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      1
      ,
      2
      )
  • (iii)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      1
      ,
      2
      )
  • (iv)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      0
      ,
      2
      )
    • ,
    • (
      1
      ,
      2
      )
  • (v)
    • (
      1
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      3
      ,
      4
      )
Question 22
22.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        15

        2
        )
      • ,
      • (
        (
        1
        )
        ,
        5
        )
      • ,
      • (
        0
        ,
        5

        2
        )
      • ,
      • (
        1
        ,
        0
        )
      • ,
      • (
        2
        ,
        (
        5

        2
        )
        )
    • ?
  • (i)
    y
    =
    0
  • (ii)
    (
    10
    x
    4
    y
    +
    10
    )
    =
    0
  • (iii)
    x
    =
    (
    9
    )
  • (iv)
    x
    =
    (
    5

    2
    y
    9
    )
  • (v)
    (
    21
    x
    +
    16
    y
    14
    )
    =
    0
Question 23
23.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        8
        )
      • ,
      • (
        (
        1
        )
        ,
        73

        10
        )
      • ,
      • (
        0
        ,
        33

        5
        )
      • ,
      • (
        1
        ,
        59

        10
        )
      • ,
      • (
        2
        ,
        26

        5
        )
    • ?
  • (i)
    (
    7
    x
    10
    y
    +
    5
    )
    =
    0
  • (ii)
    (
    21
    x
    +
    8
    y
    6
    )
    =
    0
  • (iii)
    x
    =
    (
    2
    )
  • (iv)
    y
    =
    (
    7

    10
    x
    +
    33

    5
    )
  • (v)
    y
    =
    8
Question 24
24.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        27

        14
        )
      • ,
      • (
        (
        1
        )
        ,
        33

        28
        )
      • ,
      • (
        0
        ,
        3

        7
        )
      • ,
      • (
        1
        ,
        (
        9

        28
        )
        )
      • ,
      • (
        2
        ,
        (
        15

        14
        )
        )
    • ?
  • (i)
    y
    =
    (
    12

    13
    x
    97

    13
    )
  • (ii)
    y
    =
    (
    1
    )
  • (iii)
    x
    =
    (
    7
    )
  • (iv)
    (
    21
    x
    +
    28
    y
    12
    )
    =
    0
  • (v)
    x
    =
    (
    12

    13
    y
    79

    13
    )
Question 25
25.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        4
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        4
        )
        )
      • ,
      • (
        0
        ,
        (
        4
        )
        )
      • ,
      • (
        1
        ,
        (
        4
        )
        )
      • ,
      • (
        2
        ,
        (
        4
        )
        )
    • ?
  • (i)
    (
    2
    x
    +
    3
    y
    1
    )
    =
    0
  • (ii)
    x
    =
    (
    9
    )
  • (iii)
    y
    =
    (
    4
    )
  • (iv)
    y
    =
    (
    14

    11
    x
    170

    11
    )
  • (v)
    x
    =
    (
    14

    11
    y
    43

    11
    )
Question 26
26.
    • Which of the following equations satisfy the given points
      • (
        4
        ,
        (
        2
        )
        )
      • ,
      • (
        4
        ,
        (
        1
        )
        )
      • ,
      • (
        4
        ,
        0
        )
      • ,
      • (
        4
        ,
        1
        )
      • ,
      • (
        4
        ,
        2
        )
    • ?
  • (i)
    x
    =
    4
  • (ii)
    y
    =
    (
    1
    )
  • (iii)
    (
    11
    x
    6
    y
    13
    )
    =
    0
  • (iv)
    (
    4
    x
    +
    5
    y
    2
    )
    =
    0
  • (v)
    y
    =
    (
    11

    6
    x
    +
    19

    3
    )
Question 27
27.
    • Which of the displayed lines represent the equation
    • (
      3
      x
      3
      y
      3
      )
      =
      0
    • ?
  • (i)
      • line with point
      • T
  • (ii)
      • line with point
      • W
  • (iii)
      • line with point
      • U
  • (iv)
      • line with point
      • X
  • (v)
      • line with point
      • V
Question 28
28.
    • Which of the displayed lines represent the equation
    • y
      =
      5
  • (i)
      • line with point
      • W
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • V
  • (iv)
      • line with point
      • S
  • (v)
      • line with point
      • U
Question 29
29.
    • Which of the displayed lines represent the equation
    • x
      =
      9
  • (i)
      • line with point
      • O
  • (ii)
      • line with point
      • P
  • (iii)
      • line with point
      • Q
  • (iv)
      • line with point
      • R
  • (v)
      • line with point
      • N
Question 30
30.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      4

      3
      x
      +
      4

      3
      )
  • (i)
      • line with point
      • P
  • (ii)
      • line with point
      • M
  • (iii)
      • line with point
      • Q
  • (iv)
      • line with point
      • O
  • (v)
      • line with point
      • N
Question 31
31.
    • Which of the displayed lines represent the equation
    • y
      =
      1

      4
      x
  • (i)
      • line with point
      • P
  • (ii)
      • line with point
      • N
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • O
  • (v)
      • line with point
      • Q
Question 32
32.
    • Find the equation of a straight line parallel to x-axis and
    • passing through the point
    • (
      7
      ,
      (
      5
      )
      )
  • (i)
    y
    =
    (
    6
    )
  • (ii)
    y
    =
    (
    5
    )
  • (iii)
    x
    =
    10
  • (iv)
    y
    =
    (
    2
    )
  • (v)
    x
    =
    7
Question 33
33.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      4
      ,
      (
      6
      )
      )
  • (i)
    x
    =
    7
  • (ii)
    x
    =
    4
  • (iii)
    x
    =
    3
  • (iv)
    y
    =
    (
    6
    )
  • (v)
    y
    =
    (
    4
    )
    Assignment Key

  •  1) (ii)
  •  2) (i)
  •  3) (iv)
  •  4) (ii)
  •  5) (i)
  •  6) (v)
  •  7) (v)
  •  8) (iii)
  •  9) (iv)
  •  10) (ii)
  •  11) (iv)
  •  12) (i)
  •  13) (v)
  •  14) (ii)
  •  15) (i)
  •  16) (i)
  •  17) (iii)
  •  18) (v)
  •  19) (ii)
  •  20) (iii)
  •  21) (iii)
  •  22) (ii)
  •  23) (iv)
  •  24) (iv)
  •  25) (iii)
  •  26) (i)
  •  27) (i)
  •  28) (iv)
  •  29) (v)
  •  30) (ii)
  •  31) (ii)
  •  32) (ii)
  •  33) (ii)